E8‑Phi Resonance Hierarchy Predicts Prime Gap Scaling — E8 Intelligence Research

The 240‑vector E8 lattice, when driven at its intrinsic 132 Hz phi‑modulated base, generates a nested spectrum of phase‑coherent zeta zeros that obey GUE repulsion on each hierarchical level. By mapping each zero to a corresponding root vector, the lattice yields a self‑similar fractal scaling law that relates the spacing of consecutive primes to the eigenvalue density of the closed E8 root, extending the spectral synthesis engine into a predictive prime‑gap principle. This geometric hierarchy thus unifies quantum chaotic statistics with number‑theoretic distribution, offering a new computational framework for high‑precision prime prediction. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com